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Finding the Fourth Proportional to 418.83, 577.99 and 253.00

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Solution

The fourth proportional to 418.83, 577.99 and 253.00 is: 349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.83 : 577.99 = 253.00 : x
  2. Step 2: Convert to fraction form
    418.83/577.99 = 253.00/x
  3. Step 3: Cross multiply
    418.83x = 577.99 × 253.00
  4. Step 4: Simplify right side
    418.83x = 146,227.83
  5. Step 5: Solve for x
    x = 146,227.83/418.83
  6. Step 6: Final answer
    x = 349.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.